89105616 has 40 divisors (see below), whose sum is σ = 255767360. Its totient is φ = 29701728.

The previous prime is 89105581. The next prime is 89105617. The reversal of 89105616 is 61650198.

89105616 is a `hidden beast` number, since 8 + 91 + 0 + 561 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89105617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102700 + ... + 103563.

It is an arithmetic number, because the mean of its divisors is an integer number (6394184).

Almost surely, 2^89105616 is an apocalyptic number.

It is an amenable number.

89105616 is an abundant number, since it is smaller than the sum of its proper divisors (166661744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89105616 is a wasteful number, since it uses less digits than its factorization.

89105616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206280 (or 206268 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89105616 is about 9439.5771091718. The cubic root of 89105616 is about 446.6510496755.

The spelling of 89105616 in words is "eighty-nine million, one hundred five thousand, six hundred sixteen".